45590880 has 96 divisors (see below), whose sum is σ = 151200000. Its totient is φ = 11515392.

The previous prime is 45590849. The next prime is 45590891. The reversal of 45590880 is 8809554.

45590880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6621 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 2^45590880 is an apocalyptic number.

45590880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600000).

45590880 is an abundant number, since it is smaller than the sum of its proper divisors (105609120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45590880 is a wasteful number, since it uses less digits than its factorization.

45590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 45590880 is about 6752.1018949657. The cubic root of 45590880 is about 357.2393784071.

The spelling of 45590880 in words is "forty-five million, five hundred ninety thousand, eight hundred eighty".